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Simplifying 8x + -5w + 2y + 3w + 5x + 7y = 0 Reorder the terms: -5w + 3w + 8x + 5x + 2y + 7y = 0 Combine like terms: -5w + 3w = -2w -2w + 8x + 5x + 2y + 7y = 0 Combine like terms: 8x + 5x = 13x -2w + 13x + 2y + 7y = 0 Combine like terms: 2y + 7y = 9y -2w + 13x + 9y = 0 Solving -2w + 13x + 9y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13x' to each side of the equation. -2w + 13x + -13x + 9y = 0 + -13x Combine like terms: 13x + -13x = 0 -2w + 0 + 9y = 0 + -13x -2w + 9y = 0 + -13x Remove the zero: -2w + 9y = -13x Add '-9y' to each side of the equation. -2w + 9y + -9y = -13x + -9y Combine like terms: 9y + -9y = 0 -2w + 0 = -13x + -9y -2w = -13x + -9y Divide each side by '-2'. w = 6.5x + 4.5y Simplifying w = 6.5x + 4.5y
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